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5005606560 = 253510428347
BaseRepresentation
bin1001010100101101…
…10111111010100000
3110220211221011022120
410222112313322200
540222413402220
62144411304240
7235020645063
oct45226677240
913824834276
105005606560
112139597329
12b7844b080
1361a072796
14356b208da
151e46b2a40
hex12a5b7ea0

5005606560 has 48 divisors (see below), whose sum is σ = 15767662176. Its totient is φ = 1334828288.

The previous prime is 5005606523. The next prime is 5005606631. The reversal of 5005606560 is 656065005.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5213694 + ... + 5214653.

It is an arithmetic number, because the mean of its divisors is an integer number (328492962).

Almost surely, 25005606560 is an apocalyptic number.

It is an amenable number.

5005606560 is an abundant number, since it is smaller than the sum of its proper divisors (10762055616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5005606560 is a wasteful number, since it uses less digits than its factorization.

5005606560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428365 (or 10428357 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 5005606560 is about 70750.3113774067. The cubic root of 5005606560 is about 1710.6148467836.

The spelling of 5005606560 in words is "five billion, five million, six hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10428347 20856694 31285041 41713388 52141735 62570082 83426776 104283470 125140164 156425205 166853552 208566940 250280328 312850410 333707104 417133880 500560656 625700820 834267760 1001121312 1251401640 1668535520 2502803280 5005606560